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139370131824 = 243711193173877
BaseRepresentation
bin1000000111001100011…
…0110111000101110000
3111022201221111021001020
42001303012313011300
54240412223204244
6144005321335440
713032502400640
oct2016306670560
9438657437036
10139370131824
1154119895930
1223016937580
13101b1239431
146a61b0c520
15395a7a3d19
hex20731b7170

139370131824 has 640 divisors, whose sum is σ = 494993080320. Its totient is φ = 32696524800.

The previous prime is 139370131633. The next prime is 139370131829. The reversal of 139370131824 is 428131073931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139370131829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158916474 + ... + 158917350.

It is an arithmetic number, because the mean of its divisors is an integer number (773426688).

Almost surely, 2139370131824 is an apocalyptic number.

139370131824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139370131824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247496540160).

139370131824 is an abundant number, since it is smaller than the sum of its proper divisors (355622948496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

139370131824 is a wasteful number, since it uses less digits than its factorization.

139370131824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 139370131824 in words is "one hundred thirty-nine billion, three hundred seventy million, one hundred thirty-one thousand, eight hundred twenty-four".